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Finding the Fourth Proportional to 3,113.28, 4,669.86 and 804.72

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Solution

The fourth proportional to 3,113.28, 4,669.86 and 804.72 is: 1,207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.28 : 4,669.86 = 804.72 : x
  2. Step 2: Convert to fraction form
    3,113.28/4,669.86 = 804.72/x
  3. Step 3: Cross multiply
    3,113.28x = 4,669.86 × 804.72
  4. Step 4: Simplify right side
    3,113.28x = 3,757,929.74
  5. Step 5: Solve for x
    x = 3,757,929.74/3,113.28
  6. Step 6: Final answer
    x = 1,207.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.